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Finding the Fourth Proportional to 153,993,871.20, 230,990,806.80 and 96,662,978.40

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Solution

The fourth proportional to 153,993,871.20, 230,990,806.80 and 96,662,978.40 is: 144,994,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,993,871.20 : 230,990,806.80 = 96,662,978.40 : x
  2. Step 2: Convert to fraction form
    153,993,871.20/230,990,806.80 = 96,662,978.40/x
  3. Step 3: Cross multiply
    153,993,871.20x = 230,990,806.80 × 96,662,978.40
  4. Step 4: Simplify right side
    153,993,871.20x = 22,328,259,368,306,976
  5. Step 5: Solve for x
    x = 22,328,259,368,306,976/153,993,871.20
  6. Step 6: Final answer
    x = 144,994,467.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.